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Finding the Fourth Proportional to 201,142.79, 301,716.95 and 51,384.32

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Solution

The fourth proportional to 201,142.79, 301,716.95 and 51,384.32 is: 77,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.79 : 301,716.95 = 51,384.32 : x
  2. Step 2: Convert to fraction form
    201,142.79/301,716.95 = 51,384.32/x
  3. Step 3: Cross multiply
    201,142.79x = 301,716.95 × 51,384.32
  4. Step 4: Simplify right side
    201,142.79x = 15,503,520,308.22
  5. Step 5: Solve for x
    x = 15,503,520,308.22/201,142.79
  6. Step 6: Final answer
    x = 77,077.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.